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How many way I can peak up from an array

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joy
joy 2015-4-14
关闭： MATLAB Answer Bot 2021-8-20
This is equivalent to star bar problem. I want to implement it in matlab.
I have an array A which has [1 1 1 1......1] 20 elements I have an array B which has [2 2 2 2......2] 20 elements I have an array C which has [3 3 3 3......3] 20 elements
Now I want to find in how many ways I can select 3 to 9 elements from all these array..
like i can take 3 from A or 3 from B or 3 from C or it can be 1 from A and 2 from B...like this...so on......
abc=[A B C];
allcombs = nchoosek(abc, 9);
combs = unique(allcombs, 'rows');
I don't think its a correct approach...It will computationally tough.

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